<h2>
  The ring of paramodular cusp forms
  <script type="math/tex">\ S_*(K(p)) \ (p \rm{\ prime)}</script>
</h2>

<div class="literature">
  <ul>
    <li><span class="name">T. Ibukiyama:</span>
      Dimension formulas of Siegel modular forms of weight 3 and supersingular abelian surfaces, Siegel Modular Forms and Abelian Varieties, Proceedings of the 4-th Spring Conference on Modular Forms and Related Topics (2007) 39-60.
      <a></a></li>
    <li><span class="name">C. Poor and D. S. Yuen:</span> Paramodular cusp forms, <a href="http://arxiv.org/abs/0912.0049">arXiv:1004.4699</a></li>
  </ul>
</div>

<p>
  Dimension formulas for paramodular cusp forms
  <script type="math/tex">S_k(K(p))</script>
  for <script type="math/tex"> p </script> prime and
  for weights 3 and higher were proven by <span class="name">Ibukiyama</span> 
  (Dimension formulas of Siegel modular forms of weight 3 and supersingular
  abelian surfaces, Siegel Modular Forms and Abelian Varieties, Proceedings of the
  4-th Spring Conference on Modular Forms and Related Topics, 2007).
</p>
<p>
  The dimensions of weight 2 paramodular cusp forms
  <script type="math/tex">S_2(K(p))</script>
  for primes
  <script type="math/tex"> p&lt;600</script> 
  (with the exceptions of  349, 353, 389, 461, 523, 587)
  are proven by <span class="name">C. Poor and D. S. Yuen</span>
  (Paramodular cusp form, <a href="http://arxiv.org/abs/0912.0049">arXiv:1004.4699</a>
  Poor and Yuen also proves that the only possible weight 2
  nonlifts in this range of primes (<script type="math/tex"> p&lt;600 </script>)
  can only occur at primes 277, 349, 353, 389, 461, 523, 587.
  The nonlift weight 2 eigenform at <script type="math/tex"> p=277 </script> is proven;
  the others are conjectured.
  The Fourier coefficients and some eigenvalues of the nonlift weight 2 eigenform 
  in <script type="math/tex">S_2(K(277))</script>
  and of the conjectured nonlift weight 2 eigenforms in
  <script type="math/tex">S_2(K(p))</script> (for 
  <script type="math/tex">p = 349, 353, 389, 461, 523, 587</script>)
  are given in the link for Available Forms.
</p>
